Keyword

optimal codes

Description: Error-correcting codes that achieve the best possible parameters, such as maximum code size, for specified constraints.

Primary topic: Coding theory and cryptography (79%)

Wikidata ID: wiki/Q2027306

OpenAlex ID: keywords/optimal-codes

On the Locality of Codeword Symbols

2012 · Parikshit Gopalan, Cheng Huang, et al. · IEEE Transactions on Information Theory · 832

Probability of Error for Optimal Codes in a Gaussian Channel

1959 · Claude E. Shannon · Bell System Technical Journal · 809

A Family of Optimal Locally Recoverable Codes

2014 · Itzhak Tamo, Alexander Barg · IEEE Transactions on Information Theory · 589

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Linear Codes From Perfect Nonlinear Mappings and Their Secret Sharing Schemes

2005 · C. Carlet, C. Ding, et al. · IEEE Transactions on Information Theory · 408

A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing

2015 · Kelan Ding, Cunsheng Ding · IEEE Transactions on Information Theory · 315

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Optimal linear codes with a local-error-correction property

2012 · N. Prakash, Govinda M. Kamath, et al. · IEEE International Symposium on Information Theory (ISIT) · 303

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Linear Codes From Some 2-Designs

2015 · Cunsheng Ding · IEEE Transactions on Information Theory · 292

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Algebraically punctured cyclic codes

1965 · G. Solomon, J.J. Stiffler · Information and Control · 226

Cyclotomic Linear Codes of Order $3$

2007 · Cunsheng Ding, Harald Niederreiter · IEEE Transactions on Information Theory · 212

LCD Cyclic Codes Over Finite Fields

2017 · Chengju Li, Cunsheng Ding, et al. · IEEE Transactions on Information Theory · 208

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Certain results in coding theory for noisy channels

1957 · Claude E. Shannon · Information and Control · 199

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On single-deletion-correcting codes

2002 · N. J. A. Sloane · De Gruyter eBooks · 186

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Linear Codes With Two or Three Weights From Weakly Regular Bent Functions

2016 · Chunming Tang, Nian Li, et al. · IEEE Transactions on Information Theory · 183

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Bounds on the Size of Locally Recoverable Codes

2015 · Viveck R. Cadambe, Arya Mazumdar · IEEE Transactions on Information Theory · 177

Some combinatorial constructions for optical orthogonal codes

1998 · Jianxing Yin · Discrete Mathematics · 173

A class of three-weight cyclic codes

2013 · Zhengchun Zhou, Cunsheng Ding · Finite Fields and Their Applications · 165

Optimal Locally Repairable Linear Codes

2014 · Wentu Song, Son Hoang Dau, et al. · IEEE Journal on Selected Areas in Communications · 157

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Some results on quasi-cyclic codes

1969 · C.L. Chen, W.W. Peterson, et al. · Information and Control · 155

Johnson type bounds on constant dimension codes

2008 · Shu-Tao Xia, Fang-Wei Fu · Designs Codes and Cryptography · 152

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Binary Linear Codes With Three Weights

2014 · Kelan Ding, Cunsheng Ding · IEEE Communications Letters · 148

Repairing Multiple Failures with Coordinated and Adaptive Regenerating Codes

2011 · Anne-Marie Kermarrec, Nicolas Le Scouarnec, et al. · 147

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The weight distribution of a class of linear codes from perfect nonlinear functions

2006 · Jin Yuan, C. Carlet, et al. · IEEE Transactions on Information Theory · 146

Optimal Locally Repairable Codes and Connections to Matroid Theory

2016 · Itzhak Tamo, Dimitris S. Papailiopoulos, et al. · IEEE Transactions on Information Theory · 140

Some Further Theory of Group Codes

1960 · David Slepian · Bell System Technical Journal · 132

Optimal Ternary Cyclic Codes From Monomials

2013 · Cunsheng Ding, Tor Helleseth · IEEE Transactions on Information Theory · 131

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Works count: 1,622

Citation count: 21,310